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Finding the Fourth Proportional to 608.02, 838.40 and 460.38

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Solution

The fourth proportional to 608.02, 838.40 and 460.38 is: 634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.02 : 838.40 = 460.38 : x
  2. Step 2: Convert to fraction form
    608.02/838.40 = 460.38/x
  3. Step 3: Cross multiply
    608.02x = 838.40 × 460.38
  4. Step 4: Simplify right side
    608.02x = 385,982.59
  5. Step 5: Solve for x
    x = 385,982.59/608.02
  6. Step 6: Final answer
    x = 634.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.